Time is traditionally treated as a passive background parameter, leaving the ubiquity of 1/f noise and the nonlinear nature of matter wave equations as empirical mysteries. Here, we redefine time as a topological phase-flow (Φ) governed by a dual-trend oscillatory dynamics, where space and matter emerge as topological broken-symmetry defects. By deriving the topological response operator ˆR, we reveal a universal scaling law that bridges quantum metrology, planetary-scale resonances, and the cosmological horizon. We demonstrate that the 10^−18 relative frequency flicker floor of state-of-the-art optical lattice clocks and the unexplained 10^−5 residual heating rates in Bose-Einstein Condensates (BECs) are, in fact, the same temporal fluctuation viewed at different topological scales. This 13-order-of-magnitude alignment provides the first direct evidence of a universal temporal fluctuation constant, T0, with an empirical power-law index α ≈ 0. 53. Most significantly, by extrapolating this scale-invariant flicker to the Hubble scale, we naturally suppress the theoretical vacuum energy density from the Planck scale to the observed 10^−26 g/cm³. Our framework not only resolves the 120-order-of-magnitude Cosmological Constant problem without fine-tuning and explains the origin of the entropic arrow of time, but also identifies the “missing link” between quantum decoherence, gravitational emergence, and cosmic expansion.
Felix Cui (2026) studied this question.